26832256 has 128 divisors (see below), whose sum is σ = 66096000. Its totient is φ = 10690560.

The previous prime is 26832251. The next prime is 26832259. The reversal of 26832256 is 65223862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (34560) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26832251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454755 + ... + 454813.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 2^26832256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33048000).

26832256 is an abundant number, since it is smaller than the sum of its proper divisors (39263744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26832256 is a wasteful number, since it uses less digits than its factorization.

26832256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 26832256 is about 5179.9861003675. The cubic root of 26832256 is about 299.3774348618.

The spelling of 26832256 in words is "twenty-six million, eight hundred thirty-two thousand, two hundred fifty-six".